Lectures

Literature

Course Contents

Transcendental functions, methods of integration, L'Hospital's Rule and improper integrals, infinite series, polar coordinates, and an introduction to differential equations.
Chapters 5,6,8 and part of chapters 7 and 9 from Stewart's book.

Examination and Grading

Tests (50%)

There will be 3 tests. These will be given on Thursdays and will be announced
at least one week in advance. The test with lower score will be dropped and the other two
remaining will be worth 50% towards the final grade. There will be no make-up tests.

Final (30%)

There will be a comprehensive final to be worth 30%.

Homework and Quizzes (20%)

There will be homework to be handed in every week. The homework will be assigned and completed
in WebAssign (http://www.webassign.net/) . The homework posted during each week will be due the Friday of the following week.
An accesscode for WebAssign is bundled with the new textbook purchased through the UM Bookstore.
To get enrolled in the course in WebAssign you should use the class key: miami 9163 0470
There may also be some additional homework problems without any due date but that you should
complete in order to train the concepts given in class. Some of these problems could
appear in the quizzes, tests and the final. These problems will be assigned after some of the
classes and also posted in the web page of the course.
There will be (unannounced) quizzes on some Wednesdays.
Homework and quizzes are equally weighted for the remaining 20% of the grade.

Grading Scale

Percentage

Grade

>=90%

A

>=80%

B

>=70%

C

>=60%

D

<60%

F

Syllabus

This is an approximate schedule of the course containing the syllabus:

Date

Topic

Wed 1/18

Introduction. 5.1 Inverse Functions

Thu 1/19

5.2 The Natural Logarithmic Function

Mon 1/23

5.3 The Natural Exponential Function

Wed 1/25

5.4 General Logarithmic and Exponential Functions

Thu 1/26

5.5 Exponential Growth and Decay

Mon 1/30

5.6 Inverse Trigonometric Functions

Wed 2/1

5.7 Hyperbolic Functions

Thu 2/2

5.8 Indeterminate Forms and l'Hospital's Rule

Mon 2/6

5.8 Indeterminate Forms and l'Hospital's Rule

Wed 2/8

6.1 Integration by Parts

Thu 2/9

6.2 Trigonometric Integrals and Substitutions

Mon 2/13

6.2 Trigonometric Integrals and Substitutions

Wed 2/15

Review for Test1

Thu 2/16

Test 1

Mon 2/20

6.3 Partial Fractions

Wed 2/22

6.3 Partial Fractions

Thu 2/23

6.5 Approximate Integration

Mon 2/27

6.6 Improper Integrals

Wed 2/29

7.4 Arc Length

Thu 3/1

7.4 Arc Length

Mon 3/5

7.6 Differential Equations

Wed 3/7

8.1 Sequences

Thu 3/8

8.2 Series

Mon 3/19

8.3 The Integral and Comparison Tests

Wed 3/21

Review for Test 2

Thu 3/22

Test 2

Mon 3/26

8.4 Other Convergence Tests

Wed 3/28

8.5 Power Series

Thu 3/29

8.6 Representing Functions as Power Series

Mon 4/2

8.7 Taylor and Maclaurin Series

Wed 4/4

8.7 Taylor and Maclaurin Series

Thu 4/5

8.8 Applications of Taylor Polynomials

Mon 4/9

9.1 Parametric Curves

Wed 4/11

9.2 Calculus with Parametric Curves

Thu 4/12

9.3 Polar Coordinates

Mon 4/16

9.4 Areas and Lengths in Polar Coordinates

Wed 4/18

Review for Test 3

Thu 4/19

Test 3

Mon 4/23

9.4 Areas and Lengths in Polar Coordinates

Wed 4/25

9.5 Conic Sections in Polar Coordinates

Thu 4/26

Review for the Final

Math Lab

The university and the department of mathematics offer tutoring without any charge at the Math Lab.
The Lab is located in Ungar building, room 304 and is open Monday through Thursday 11 AM to 6 PM and
Friday 11 AM to 1 PM.
The tutoring is given in a walk-in basis without any appointment. The Lab schedules can be
consulted in its web page.
The Academic Resource Center (A.R.C) also offers tutoring by appointment.